Advertisements
Advertisements
प्रश्न
A capillary of diameter d mm is dipped in water such that the water rises to a height of 30 mm. If the radius of the capillary is made `(2/3)` of its previous value, then compute the height up to which water will rise in the new capillary?
Advertisements
उत्तर
Let diameter of capillary tube = d mm
Let the radius of capillary tube r1 = r mm
Capillary rise h1 = 30 mm
Let the radius of another capillary tube r2 = `2/3` r
Let the capillary rise of another capillary tube be h2
We know that
T = `("hr"ρ"g")/2`
∴ `"h" ∝ 1/"r"`
`"h"_1/"h"_2 = "r"_2/"r"_1`
`30/"h"_2 = (2/3 "r")/"r"`
`30/"h"_2 = 2/3`
∴ h2 = `(3 xx 30)/2` = 45 mm
Capillary rise in the new capillary tube = 45 mm
APPEARS IN
संबंधित प्रश्न
Figure (a) shows a thin liquid film supporting a small weight = 4.5 × 10–2 N. What is the weight supported by a film of the same liquid at the same temperature in Fig. (b) and (c)? Explain your answer physically.
Calculate the work done in increasing the radius of a soap bubble in air from 1 cm to 2 cm. The surface tension of soap solution is 30 dyne/cm. (Π = 3.142).
When a sparingly soluble substance like alcohol is dissolved in water, surface tension of water
The force of surface tension acts tangentially to the surface whereas the force due to air pressure acts perpendicularly on the surface. How is then the force due to excess pressure inside a bubble balanced by the force due to the surface tension?
A hollow spherical body of inner and outer radii 6 cm and 8 cm respectively floats half-submerged in water. Find the density of the material of the sphere.
A drop of mercury of radius 0.2 cm is broken into 8 droplets of the same size. Find the work done if the surface tension of mercury is 435.5 dyn/cm.
What are the factors affecting the surface tension of a liquid?
Water rises in a capillary tube of radius r upto a height h. The mass of water in a capillary is m. The mass of water that will rise in a capillary of radius `"r"/4` will be ______.
The free surface of oil in a tanker, at rest, is horizontal. If the tanker starts accelerating the free surface will be titled by an angle θ. If the acceleration is a ms–2, what will be the slope of the free surface?
Define angle of contact.
